What is the Least Common Multiple of 86524 and 86537?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 86524 and 86537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86524 and 86537, than apply into the LCM equation.

GCF(86524,86537) = 1
LCM(86524,86537) = ( 86524 × 86537) / 1
LCM(86524,86537) = 7487527388 / 1
LCM(86524,86537) = 7487527388

Least Common Multiple (LCM) of 86524 and 86537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86524 and 86537. First we will calculate the prime factors of 86524 and 86537.

Prime Factorization of 86524

Prime Factorization of 86537

Now multiplying the highest exponent prime factors to calculate the LCM of 86524 and 86537.

LCM(86524,86537) = 2² × 97¹ × 223¹ × 11¹ × 7867¹
LCM(86524,86537) = 7487527388